Center of Kostant algebra
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914053974130688 |
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| author | Hausel, Tamás |
| author_facet | Hausel, Tamás |
| contents | In this note, following Muić-Savin, we compute the center of Kostant algebra, introduced by Kostant in 1975 as strongly commuting algebra. We explain how it encodes information on tensor products between a finite-dimensional and a Verma module, and about the structure of principal series representations via the work of Bernstein-Gelfand. We also discuss conjectured relationships to Langlands duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20159 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Center of Kostant algebra Hausel, Tamás Representation Theory In this note, following Muić-Savin, we compute the center of Kostant algebra, introduced by Kostant in 1975 as strongly commuting algebra. We explain how it encodes information on tensor products between a finite-dimensional and a Verma module, and about the structure of principal series representations via the work of Bernstein-Gelfand. We also discuss conjectured relationships to Langlands duality. |
| title | Center of Kostant algebra |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2509.20159 |